Magic Square:

It has been intriguing so many people for hundreds of years, maybe even for thousands of years from the first magic square emerged in ancient China. Benjamin Franklin is also interested in Magic Square and Magic Circle. He created some of them. I have been thinking to post his work here later.

Magic Circle is also famous, though it is not as famous as magic square. The first famous Magic Circle is created around the 13th century.

Magic Polyhedron is a new invention. I created it when I was thinking to make a 3-dimensional magic cube from a 2-dimensional magic square, and when I later found a magic circle which gave me an idea one night. I converted a magic circle to a magic polyhedron. This discovery really made me exciting and happy. I hope you will enjoy it too.

–(Keith) HUNG Kut Man

Christian Theology:

Trinity – an attempt to understand it

A line represents one dimension while two lines compose a 2-dimensional plane. If we draw two parallel lines on a piece of paper, they will never meet. However, if we draw a straight line on a paper strip and another on the back of it in exact position as the line on front, they represent two parallel lines. Now, we twist the paper strip and stick the end to the head of the strip. Then, the two independent lines meet and a Mobius strip is formed. That is a circular object (line) is drawn on both sides of the paper without broken interval. Because of such a twist and stick process, two independent lines were transformed into one circular object from a 2-dimensional plane to a 3-dimensional environment. If we view it from an opposition direction, i.e. when a 3-dimensional object enters into a 2-dimensional plane, then two flat independent pieces will be formed.

By the same token, if we add one more line on top of the above two parallel lines, then a 3-dimensional environment is formed. Now, make this line also parallel to those two lines. In this way, all three independent lines (A, B and C) could never meet one another. Similar to above, by twisting and sticking the head of line A to the tail of line B, and the head of line B to the tail of line C, and finally the head of line C to the tail of line A, one circular object (line) without broken interval is formed. Although this object is 3-dimensional itself, most likely, it is a 4-dimensional or higher dimensional object. (However, it may not be. Please refer to question 1 below for more in depth discussion.) As discussed in another webpage of this website, we can find that the 4th dimension and other higher dimensions are also 3-dimensional themselves.

Similarly, from an opposition direction of transformation, i.e. when ONE 4-dimensional or higher dimensional object enters into a 3-dimensional environment, then THREE independent objects will be formed. It helps us understand trinity a lot more. More, because of such head to tail connection, it also helps us understand God’s self-proclamation in Revelation 22:13:

“I am the Alpha and the Omega, the First and the Last, the Beginning and the End.”

~ written on July 10, 2011

~ revised on July 17, 2014

Related Questions:

1) Is Klein bottle 

a 4-dimensional or higher dimensional object?

Suggested solution to question no. 1:

It seems not. Perhaps, it seems not a complete one. Because we human beings are confined to our 3-dimensional environment, any 4-dimensional or higher dimensional object cannot be visualized by us, unless we are able to enter those environments. The above discussion is only a conceptual attempt to understand trinity. As such, we cannot fully understand trinity for we cannot enter to 4-dimensional or higher dimensional environments, especially those higher dimensional spaces. Hence, the bible says, “No one has seen the Father except the one who is from God; only he has seen the Father.” (John 6:46)

2) Because time is a fourth dimensional thing, so how does it appear in 3 independent identities in our 3-dimensional world?

Suggested solution to question no. 2:

It may be in this way: First, it is time itself. Second, it is light (electromagnetic wave in more precise term) in particle form. Third, it is light (electromagnetic wave in more precise term) in wave form.

Because in Einstein’s theory, time is closely related to light, so perhaps, time appears in light too in our 3-dimensional world.

~ written on July 17, 2014

3) Can you draw on a piece of paper a circle with a dot inside without lifting up the pen?

Suggested solution to question no. 3:

First, by pressing a pen on the paper to make a dot. Then, don’t lift up the pen. 

Second, fold up the corner of the paper until it touches the tip of the pen. That is where the dot is.

Third, move the pen onto the back of the paper. That is to draw a line on the back of the paper.

Fourth, move the pen back to the front of the paper, and then draw a circle enclosing the dot.


A 2-dimensional problem can be solved with 3-dimensional imagination.

4) Can you form the largest number by moving only 2 matches for the number “5008”? 

Suggested solution to question no. 4:

The following was found in the YouTube:

By using the 3-dimensional concept, an extremely large number can be formed.

In words:

First, turn the no. 5008 around, then it becomes 8005;

Second, take away the top and bottom matches of the second no., i.e. “0”. Then, the number becomes 81105;

Third, put one match to the end of the number. Then, the number becomes 811051;

Fourth, use another match at hand to pierce perpendicularly through the paper at the root of the last match. Then, the number becomes 81105!, i.e. the factorial of 81105.

( Note: Years ago, I created the 3-dimensional and factorial solution method for another number. It seems like 508. In paying tribute to the contribution of my friend, he helped improve the final number result. He made a larger number.)


Something Interesting:

I) A better understanding of the concept of dimensions:

II) Some interesting verses were found in Bible, which may correlate with the concept of dimensions.

1) Isiah 34:4.

All the stars in the sky will be dissolved and

the heavens rolled up like a scroll;

all the starry host will fall like withered leaves from the vine, like shriveled figs from the fig tree.

2) Revelation 6:14.

The heavens receded like a scroll being rolled up,

and every mountain and island was removed from its place.

It seems that the 3-dimensional universe becomes a 2-dimensional plane and then being rolled up to form a 1-dimentional line.

III) Shroud of Turin

It is a whole piece of cloth covering the body from head to toe at front and then turning to the back from toe to head. Some time ago, I watch a TV program of Discovery Channel. It described the Shroud of Turin. It said (if my memory is correct) the images in the front and at the back were of the same size. The body of Jesus seemed to shrink to a 2-dimensional plane and then disappeared. (At least, it is one of the explanations and under the assumption that the Shroud of Turin is real.) Normally, the size of the image at front should be larger than that at the back due to body curvature and gravity on the cloth which covering the front part of the body. Maybe, during transformation to a 2-dimensional plane, the process is similar to taking a photo at front and another at back. As such, the images are of the same size.

In this way, Jesus can also pass through 3-dimensional barriers like wall or door by shrinking to lower dimensions, not necessarily going to higher dimensions.

~ Written on January 11, 2017.

The transformation from the 3-dimensional body to the 2-dimensional plane will form two independent objects as mentioned above and illustrated with the help of the Mobius strip. Here, the two independent objects may be the photos of the front and the back of the body. These photos are parallel to each other, so they are independent to each other mathematically. When they are pressed down and the distance between them becomes zero, then they are on the same plane and can freely sliding away from each other..

~ written on January 12, 2017

IV) Sizes and measurements change from a 2-dimensional plane to a 3-dimensionsl space!

From III) Shroud of Turin above, we know that size becomes smaller when changing from a 3-dimensional space to a 2-dimensional plane. Points III and IV match with each other.

A similar size or measurement change is as follows:

By the same token, the measurements in a 3-dimensional space may highly possibly change in a 4- or higher dimensions. It’s amazing! That means an object in a 4- or higher dimensions may possibly move freely and instantly to anywhere of the 3-dimensional space.

~ written on August 26, 2023 and October 13, 2023

Related fvideos:

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3) (Please press Ctrl key and click)

4) (Please press Ctrl key and click)

5) (Please press Ctrl key and click)

6) (Please press Ctrl key and click)

~ updated on March 25, 2018


COVID-196,879,677 (至2023年3月21日)蝙蝠?/貉(raccoon dog)?
呼吸道感染3,871,000 (只於2001年內)
愛滋病2,800,000 (只於2003年內)
3,100,000 (只於2005年內)
650,000 (只於2021年內)
SARS774 (由2002年11月1日至2003年7月31日) (WHO數字)果子狸
Source: Respiratory tract infection – Wikipedia


1) WHO Coronavirus (COVID-19) Dashboard | WHO Coronavirus (COVID-19) Dashboard With Vaccination Data

2)  How raccoon dog DNA fits into the COVID-19 origins debate (

3) Bat coronaviruses related to SARS-CoV-2 and infectious for human cells | Nature

4) Respiratory tract infection – Wikipedia


6Summary of probable SARS cases with onset of illness from 1 November 2002 to 31 July 2003 (

7) AIDS Epidemic Update: December 2005 by Joint United Nations Programme on HIV/AIDS (UNAIDS) and World Health Organization (WHO),


10) Bible (NIV)-Revelation 6:8    I looked, and there before me was a pale horse! Its rider was named Death, and Hades was following close behind him. They were given power over a fourth of the earth to kill by sword, famine and plague, and by the wild beasts of the earth.

Updated on March 25, 2023


NEVER pour water over burning wax or candle

 類似的事情經常出現在中秋節,孩子們煲臘時潑水至火中,水遇上高温便蒸發成水蒸氣向上沖,氣態和液態臘微粒(極高温),連同水蒸氮一同被沖上去,接著在極短時間內被火燃點著,火焰便隨之然上升,每年中秋都有不少兒童被燒傷。所有液態臘微粒的表面積(surface area)加起來是很大的,再加上高温,是極容易被燃點著的。 

(注:臘的燃點為:200–240 °C (392–464 °F)  沸點為:370 °C (698 °F))


















詩篇119篇43節: 求你叫真理的話總不離開我口,因我仰望你的典章。



Big Bang:

It is about the creation of dimensions during the big bang.

Drawn on July 26, 2020

I am not sure if it is the reality during God’s creation at the very beginning. Yet, it provides a clue or one of the possibilities during creation.。

The ellipsoid at the bottom/top is the cosmic microwave background radiation detected in 1964. It is the radiation remained at the very beginning during the universe formation. I think it is the result due to the formation of a 3-dimensional environment from a 2-dimensional spread-out plane or disk. The 2-dimensional spread-out plane or disk was formed from a 1-dimensional line, similar to the burst of a bag of paint dropping from a very high altitude. If you view it from the rim of the plane (disk), you will feel how an ellipsoid was formed. When a 2-dimensional spread-out disk rotated a little bit, a 3-dimensional environment was formed. That is an ellipsoid image emerged.

A similar picture, but not quite, is the nuclear explosion,

The existence of the positive and negative universes is under hot discussion in recent years.


1) Zero-energy universe – Wikipedia

2) Dark matter may exist because a mirror universe is running backward in time | Live Science

3) Our universe has antimatter partner on the other side of the Big Bang, say physicists – Physics World

4) 科學Infinity In Your Pocket Mike Flynn著 王琳琳、凌雲飛譯


Infinity In Your Pocket by Mike Flynn (Chinese translation version)

5) A series of related Discovery Science TV programs

6) Big Bang – Wikipedia


I hope you will like it and think about the creation of God.

~ written on December 4, 2012, and updated on July 26, 2020 and March 26, 2023

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